Binomial edge ideals constitute a vibrant research area where the methods of commutative algebra intersect with the combinatorial structures inherent in graph theory. By associating to each graph an ...

I observed an Algebra class recently where students were trying to multiply two polynomials, (x + 5) and (3x 2 - 5x - 4). And as I roamed the room, I noticed several students who were stuck because ...

Polynomial equations are fundamental concepts in mathematics that define relationships between numbers and variables in a structured manner. In mathematics, various equations are composed using ...

In this paper we extend to the discrete case a Karhunen-Loève expansion already known for continuous families of classical orthogonal polynomials. This expansion involves Krawtchouk polynomials. It ...